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Finding the Third Proportional to 658,142 and 995,314

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Solution

The third proportional to 658,142 and 995,314 is: 1,505,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,142 : 995,314 = 995,314 : x
  2. Step 2: Convert to fraction form
    658,142/995,314 = 995,314/x
  3. Step 3: Cross multiply
    658,142x = 995,314 × 995,314
  4. Step 4: Simplify right side
    658,142x = 990,649,958,596
  5. Step 5: Solve for x
    x = 990,649,958,596/658,142
  6. Step 6: Final answer
    x = 1,505,222.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.